Phi The sigma sum I will prove that the sigma sum is true given the value of phi, which is also the reciprocal of the golden ratio. Remember how Φ^2 = 1 - Φ? The sigma sum states that 1 - Φ + Φ - Φ^2 + Φ^2 - Φ^3 + Φ^3 - Φ^4 + … Continue reading Conway’s Soldiers… part 2.

# Tag: short

# A neat way to calculate the area of a rectangle

I was sitting down, solving one of Catriona Shearer's geometry puzzles when I found this (by myself): Look, I know it's not the best of drawings, but it's what I did. If we call the long diagonal x, and the line segment perpendicular to the diagonal y, then the area of the triangle = xy/2, … Continue reading A neat way to calculate the area of a rectangle

# help me

Guys, I have way too many puzzles for my new book, but not enough facts about math or science. HELP ME PLEASE!!!!!!!!! If you have any inspirations please send through hexaflexagons2009@gmail.com Thank you! Top 5 best inspirations will get a shoutout in the new book. Thanks!